The ratio of James to Nicholas's savings was 4 : 7 at first. After James saved another $166 and Nicholas saved another $43, James had twice of Nicholas. How much did James have in the end?
Question
The ratio of James to Nicholas's savings was 4 : 7 at first. After James saved another 43, James had twice of Nicholas. How much did James have in the end?
Solution
Let's solve this step by step:
Step 1: Let's assume the initial amount of savings James had was 4x and Nicholas had was 7x.
Step 2: According to the problem, after saving some more money, James had twice the amount of Nicholas. So, we can write this as: 4x + 166 = 2(7x + 43)
Step 3: Simplify the equation: 4x + 166 = 14x + 86
Step 4: Rearrange the equation to find the value of x: 14x - 4x = 166 - 86, which simplifies to 10x = 80
Step 5: Solve for x: x = 80 / 10 = 8
Step 6: Now that we know x = 8, we can find out how much James had in the end. Substitute x = 8 into the equation for James's savings: 4x + 166 = 4*8 + 166 = 32 + 166 = $198
So, James had $198 in the end.
Similar Questions
The ratio of Matthew to James's savings was 2 : 5 at first. After Matthew saved another $144 and James saved another $36, Matthew had twice of James. How much did Matthew have in the end?
The ratio of Lincoln to Jason's savings was 2 : 7 at first. After Lincoln saved another $142 and Jason saved another $53, Lincoln had twice of Jason. How much did Lincoln have in the end?
The ratio of Agnes to John's savings was 4 : 5 at first. After Agnes saved another $170 and John saved another $31, Agnes had twice of John. How much did Agnes have in the end
The ratio of Julie to Joseph's savings was 4 : 7 at first. After Julie saved another $180 and Joseph saved another $60, Julie had twice of Joseph. How much did Julie have in the end?
The ratio of Noah to William's savings was 2 : 3 at first. After Noah saved another $124 and William saved another $48, Noah had twice of William. How much did Noah have in the end?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.